Compare 10/35 and 27/60
10/35 is smaller than 27/60
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 60 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 35 × 12 = 420,
10/35 = 10 × 12/35 × 12 = 120/420 - Likewise, for the 2nd fraction, since 60 × 7 = 420,
27/60 = 27 × 7/60 × 7 = 189/420 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 120/420 < 189/420 or 10/35 < 27/60
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